I did this page a while ago, but don't think I told you guys about it: Taylor Series
Comments and suggestions welcome!
"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman
I say leave it as it is. It is a good introduction.
In mathematics, you don't understand things. You just get used to them.
I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.